Answer:
x=all real numbers
Step-by-step explanation:
1. distribute: 5(x+6)-2x=3(x+10)
5x+30-2x=3x+30
2. combine like terms 3x+30=3x=30
3. these are equal therefore x=all real numbers
The standard form:

The slope-intercept form:

m - slope

b - y-intercept (0, b).
We have the point (0, 43) → b= 43.
Next point (2, 55). Substitute to the slope formula:

Therefore we have:
<em>subtract 6x from both sides</em>

Answer:
l = 29.4 yards
w = 66.8 yards
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Perimeter of a Rectangle: P = 2w + 2l
Step-by-step explanation:
<u>Step 1: Define</u>
P = 163 yards
w = 2l + 8
l = l
<u>Step 2: Set up equation</u>
P = 2w + 2l
163 = 2(2l + 8) + l
<u>Step 3: Solve for </u><em><u>l</u></em>
- Distribute 2: 163 = 4l + 16 + l
- Combine like terms: 163 = 5l + 16
- Subtract 16 on both sides: 147 = 5l
- Divide both sides by 5: 147/5 = l
- Rewrite: l = 147/5
- Evaluate: l = 29.4 yards
<u>Step 4: Find </u><em><u>w</u></em>
- Define: w = 2l + 8
- Substitute: w = 2(29.4) + 8
- Multiply: w = 58.8 + 8
- Add: w = 66.8 yards
We are looking to find P(X>60 students)
X is normally distributed with mean 50 and standard deviation 5
We need to find the z-score of 60 students

To find the probability of P(Z>2), we can do 1 - P(Z<2)
So we read the probability when Z<2 which is 0.9772, then subtract from one we get 0.0228
The number of students that has score more than 60 is 0.0228 x 1000 = 228 students
Answer:
1.92 m³
hopefully this answer can help you to answer the next question.